RLS Wiener Smoother from Randomly Delayed Observations in Linear Discrete-Time Systems

Seiichi Nakamori
Department of Technology, Faculty of Education, Kagoshima University, Kagoshima, Japan

Series: Mathematics Research Developments
BISAC: MAT027000


Volume 10

Issue 1

Volume 2

Volume 3

Special issue: Resilience in breaking the cycle of children’s environmental health disparities
Edited by I Leslie Rubin, Robert J Geller, Abby Mutic, Benjamin A Gitterman, Nathan Mutic, Wayne Garfinkel, Claire D Coles, Kurt Martinuzzi, and Joav Merrick


Digitally watermarked, DRM-free.
Immediate eBook download after purchase.

Product price
Additional options total:
Order total:



In this book, the new recursive least-squares (RLS) Wiener filter and fixed-point smoother are designed from randomly delayed observed values by one sampling time in linear discrete-time stochastic systems. The probability is given as a function of time. If the conditional probability is not a function of time, the length of the derivation for the RLS Wiener estimators becomes shorter than the current RLS Wiener algorithms for the fixed-point smoothing and filtering estimates. The proof for deriving the RLS Wiener fixed-point smoother and filter is shown in the case of the conditional probability as a function of time k. A numerical simulation example in Chapter 4 shows that the fixed-point smoothing and filtering algorithms, proposed in this book, are feasible.

The RLS Wiener estimators do not use the information of the variance of the input noise and the input matrix in the state equation, in comparison with the estimation technique by the Kalman filter. Hence, the RLS Wiener estimation technique has an advantage that the estimation accuracy of the RLS Wiener estimators is not influenced by the estimation errors for the input noise variance and the input matrix. (Imprint: Nova)



Chapter 1. Introduction

Chapter 2. Least-squares Fixed-point Smoothing Problem

Chapter 3. RLS Wiener Estimation Algorithms

Chapter 4. A Numerical Simulation Example

Chapter 5. Conclusions




You have not viewed any product yet.